kilobytes = 115.958425925564 q = 3 m = 7 n = 1847 s = 0 t = 30 u = 60 k = 1427 w = 45 ciphertext = [1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol420 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol421 = [2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0] pubkeycol422 = [2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol423 = [1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol424 = [0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol425 = [2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol426 = [2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2] pubkeycol427 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol428 = [1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol429 = [0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol430 = [2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol431 = [1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol432 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol433 = [2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol434 = [1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol435 = [2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol436 = [2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol437 = [1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol438 = [0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol439 = [0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol440 = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol441 = [2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2] pubkeycol442 = [2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol443 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol444 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol445 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol446 = [0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol447 = [0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol448 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol449 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol450 = [2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol451 = [0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol452 = [2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol453 = [0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol454 = [2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol455 = [1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol456 = [2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol457 = [1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol458 = [0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol459 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol460 = [0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol461 = [1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol462 = [0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol463 = [2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol464 = [2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol465 = [2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol466 = [0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0] pubkeycol467 = [0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol468 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol469 = [2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1] pubkeycol470 = [1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol471 = [1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2] pubkeycol472 = [2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol473 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol474 = [0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol475 = [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol476 = [0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol477 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol478 = [2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol479 = [1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol480 = [0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol481 = [1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol482 = [1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol483 = [2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol484 = [2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol485 = [1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol486 = [0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol487 = [2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol488 = [0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol489 = [1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol490 = [1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol491 = [1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol492 = [0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0] pubkeycol493 = [2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol494 = [2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol495 = [1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol496 = [0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol497 = [2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol498 = [1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1] pubkeycol499 = [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol500 = [0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol501 = [0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol502 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol503 = [1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol504 = [1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol505 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol506 = [1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol507 = [1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol508 = [2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol509 = [2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol510 = [1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol511 = [0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol512 = [2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol513 = [0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol514 = [0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol515 = [2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol516 = [2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol517 = [0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol518 = [0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol519 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol520 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol521 = [1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol522 = [2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol523 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol524 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol525 = [2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol526 = [0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol527 = [0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol528 = [1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol529 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol530 = [0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol531 = [0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol532 = [0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol533 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol534 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol535 = [2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol536 = [1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol537 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol538 = [2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol539 = [2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol540 = [2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol541 = [0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol542 = [1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol543 = [1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol544 = [2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol545 = [1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol546 = [0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol547 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol548 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol549 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol550 = [2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol551 = [1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol552 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol553 = [0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol554 = [0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol555 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol556 = [0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol557 = [2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol558 = [0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol559 = [2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol560 = [1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol561 = [2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol562 = [2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1] pubkeycol563 = [2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol564 = [0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol565 = [2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol566 = [0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol567 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol568 = [1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol569 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol570 = [2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol571 = [1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2] pubkeycol572 = [1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol573 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol574 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol575 = [0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol576 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol577 = [1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol578 = [2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol579 = [2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol580 = [0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol581 = [1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol582 = [1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol583 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol584 = [2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol585 = [1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol586 = [2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol587 = [0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol588 = [1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol589 = [2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol590 = [1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol591 = [1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol592 = [0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol593 = [1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol594 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol595 = [2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol596 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol597 = [2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol598 = [1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol599 = [1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol600 = [0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol601 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol602 = [1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol603 = [0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol604 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol605 = [0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol606 = [0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol607 = [1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol608 = [0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2] pubkeycol609 = [2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol610 = [2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2] pubkeycol611 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol612 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol613 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol614 = [2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0] pubkeycol615 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol616 = [1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol617 = [1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1] pubkeycol618 = [1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol619 = [0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol620 = [2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol621 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol622 = [1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol623 = [1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol624 = [2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol625 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol626 = [2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol627 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol628 = [1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol629 = [2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol630 = [1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol631 = [1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol632 = [1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol633 = [0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol634 = [2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol635 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol636 = [1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2] pubkeycol637 = [0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 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, 1, 2, 0, 0, 0] pubkeycol638 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol639 = [1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol640 = [0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol641 = [0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol642 = [0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol643 = [1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol644 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol645 = [2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol646 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol647 = [0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0] pubkeycol648 = [0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol649 = [2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1] pubkeycol650 = [1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol651 = [2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol652 = [2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol653 = [2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol654 = [2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol655 = [2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol656 = [1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol657 = [2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol658 = [0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol659 = [0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol660 = [0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol661 = [2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol662 = [0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol663 = [1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol664 = [2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol665 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol666 = [2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol667 = [2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol668 = [0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol669 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol670 = [1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1] pubkeycol671 = [2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol672 = [1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol673 = [1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol674 = [2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol675 = [1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol676 = [0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol677 = [1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol678 = [1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol679 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol680 = [1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol681 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol682 = [1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol683 = [2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol684 = [1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol685 = [0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol686 = [2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol687 = [2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol688 = [1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol689 = [2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol690 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol691 = [0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol692 = [1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol693 = [0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol694 = [2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol695 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol696 = [1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol697 = [1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol698 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol699 = [2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol700 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol701 = [2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2] pubkeycol702 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol703 = [2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol704 = [1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol705 = [2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol706 = [0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol707 = [1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol708 = [0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol709 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol710 = [0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol711 = [1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol712 = [2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol713 = [1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol714 = [1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol715 = [2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol716 = [2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol717 = [1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol718 = [2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol719 = [2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol720 = [1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol721 = [1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1] pubkeycol722 = [2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol723 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol724 = [2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol725 = [1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol726 = [1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol727 = [1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol728 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol729 = [2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol730 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol731 = [2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol732 = [1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol733 = [1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol734 = [2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol735 = [2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol736 = [0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol737 = [1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol738 = [2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol739 = [1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol740 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol741 = [2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol742 = [0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol743 = [1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol744 = [1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol745 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol746 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol747 = [2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol748 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol749 = [0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol750 = [1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol751 = [0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol752 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol753 = [1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol754 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol755 = [2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol756 = [2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0] pubkeycol757 = [1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol758 = [1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol759 = [0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol760 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol761 = [1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol762 = [2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol763 = [2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol764 = [2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2] pubkeycol765 = [1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol766 = [0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol767 = [2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol768 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol769 = [2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol770 = [2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2] pubkeycol771 = [0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol772 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol773 = [0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol774 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol775 = [0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol776 = [2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol777 = [0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol778 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol779 = [2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol780 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol781 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2] pubkeycol782 = [2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2] pubkeycol783 = [0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol784 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol785 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol786 = [1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol787 = [1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol788 = [2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol789 = [1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol790 = [2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol791 = [0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol792 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol793 = [0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol794 = [1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol795 = [1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol796 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol797 = [0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2] pubkeycol798 = [0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol799 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol800 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol801 = [0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol802 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol803 = [1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol804 = [1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol805 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol806 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol807 = [2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol808 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol809 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol810 = [0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol811 = [0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol812 = [2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol813 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol814 = [2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol815 = [2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol816 = [1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol817 = [0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol818 = [2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol819 = [0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol820 = [0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol821 = [1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1] pubkeycol822 = [1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol823 = [2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol824 = [2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol825 = [1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol826 = [1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol827 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol828 = [2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol829 = [0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol830 = [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol831 = [2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol832 = [1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol833 = [2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol834 = [2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol835 = [0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol836 = [2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol837 = [2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol838 = [1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol839 = [1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol840 = [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol841 = [1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2] pubkeycol842 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol843 = [1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol844 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol845 = [2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol846 = [1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol847 = [2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol848 = [2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol849 = [2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol850 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol851 = [0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol852 = [0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol853 = [1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol854 = [0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol855 = [1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol856 = [2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol857 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol858 = [2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol859 = [1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol860 = [1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol861 = [2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol862 = [1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol863 = [1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0] pubkeycol864 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol865 = [2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol866 = [0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol867 = [1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol868 = [1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol869 = [1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol870 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol871 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol872 = [2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol873 = [2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol874 = [2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol875 = [2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol876 = [1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol877 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol878 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol879 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol880 = [2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol881 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol882 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol883 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol884 = [1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol885 = [0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol886 = [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol887 = [1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol888 = [1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol889 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol890 = [2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol891 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol892 = [1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2] pubkeycol893 = [1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol894 = [1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol895 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol896 = [2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol897 = [0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol898 = [2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol899 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol900 = [2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol901 = [2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol902 = [2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol903 = [0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol904 = [2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2] pubkeycol905 = [0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol906 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol907 = [0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol908 = [0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol909 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol910 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol911 = [1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol912 = [2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol913 = [0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol914 = [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol915 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol916 = [0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol917 = [0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol918 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol919 = [1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol920 = [1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol921 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol922 = [1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol923 = [0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol924 = [1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol925 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol926 = [1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2] pubkeycol927 = [1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol928 = [0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2] pubkeycol929 = [1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol930 = [2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol931 = [1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol932 = [2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol933 = [2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol934 = [1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol935 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol936 = [2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol937 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol938 = [1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol939 = [0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol940 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol941 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol942 = [0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol943 = [0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol944 = [1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol945 = [2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol946 = [0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol947 = [1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol948 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol949 = [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol950 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol951 = [0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol952 = [0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol953 = [0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2] pubkeycol954 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol955 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol956 = [2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol957 = [1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol958 = [0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol959 = [1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol960 = [1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol961 = [1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol962 = [0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol963 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol964 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol965 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol966 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol967 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol968 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol969 = [1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol970 = [1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol971 = [2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol972 = [1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol973 = [2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol974 = [2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol975 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol976 = [0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol977 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol978 = [2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol979 = [0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol980 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol981 = [0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol982 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol983 = [0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol984 = [2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol985 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol986 = [0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol987 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol988 = [2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol989 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol990 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol991 = [0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol992 = [2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol993 = [1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol994 = [0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol995 = [2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol996 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2] pubkeycol997 = [0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol998 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0] pubkeycol999 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1000 = [0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol1001 = [1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol1002 = [2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol1003 = [1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol1004 = [0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2] pubkeycol1005 = [0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol1006 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol1007 = [2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol1008 = [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol1009 = [0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0] pubkeycol1010 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol1011 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0] pubkeycol1012 = [0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0] pubkeycol1013 = [2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol1014 = [1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol1015 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol1016 = [1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol1017 = [0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol1018 = [2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol1019 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol1020 = [2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol1021 = [0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1022 = [2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol1023 = [0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1024 = [0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol1025 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol1026 = [1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol1027 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol1028 = [2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1029 = [1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol1030 = [0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1031 = [1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1032 = [2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol1033 = [2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2] pubkeycol1034 = [2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol1035 = [2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0] pubkeycol1036 = [2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1] pubkeycol1037 = [0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol1038 = [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol1039 = [0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol1040 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2] pubkeycol1041 = [1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1] pubkeycol1042 = [0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol1043 = [1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol1044 = [2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol1045 = [2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol1046 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol1047 = [0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol1048 = [1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol1049 = [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0] pubkeycol1050 = [0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol1051 = [1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1] pubkeycol1052 = [2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol1053 = [0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1054 = [2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol1055 = [0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol1056 = [1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1057 = [0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol1058 = [2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol1059 = [1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol1060 = [1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol1061 = [1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol1062 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol1063 = [1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol1064 = [1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol1065 = [0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol1066 = [1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol1067 = [0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol1068 = [1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1069 = [0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol1070 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol1071 = [0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0] pubkeycol1072 = [1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol1073 = [2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol1074 = [0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol1075 = [2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol1076 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol1077 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol1078 = [0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol1079 = [1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol1080 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1081 = [1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol1082 = [0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol1083 = [1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol1084 = [2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol1085 = [0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol1086 = [1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol1087 = [1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol1088 = [2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1] pubkeycol1089 = [1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0] pubkeycol1090 = [1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1091 = [2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol1092 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1093 = [1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol1094 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol1095 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol1096 = [1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol1097 = [1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol1098 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol1099 = [2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol1100 = [2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1101 = [1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol1102 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1103 = [0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol1104 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1105 = [1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol1106 = [2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol1107 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol1108 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1109 = [1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol1110 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol1111 = [2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol1112 = [0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol1113 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol1114 = [0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol1115 = [0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1116 = [0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol1117 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol1118 = [1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol1119 = [0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol1120 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1121 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1122 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1123 = [2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol1124 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1] pubkeycol1125 = [2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol1126 = [0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol1127 = [0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol1128 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol1129 = [2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol1130 = [0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol1131 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1132 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol1133 = [2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol1134 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol1135 = [2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol1136 = [1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol1137 = [1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1] pubkeycol1138 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol1139 = [0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol1140 = [2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1] pubkeycol1141 = [1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol1142 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol1143 = [2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol1144 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol1145 = [2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol1146 = [1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol1147 = [2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol1148 = [1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol1149 = [0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1150 = [0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol1151 = [2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1152 = [1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol1153 = [0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0] pubkeycol1154 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol1155 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1156 = [1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1157 = [2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol1158 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol1159 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2] pubkeycol1160 = [1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol1161 = [2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1162 = [0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol1163 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1164 = [2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol1165 = [2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol1166 = [1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1167 = [1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol1168 = [0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol1169 = [1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0] pubkeycol1170 = [2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol1171 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol1172 = [0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol1173 = [2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol1174 = [2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol1175 = [0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol1176 = [0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol1177 = [2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2] pubkeycol1178 = [2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1179 = [0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol1180 = [1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol1181 = [2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol1182 = [0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol1183 = [0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol1184 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol1185 = [0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol1186 = [2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol1187 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1] pubkeycol1188 = [0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1189 = [0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1190 = [2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol1191 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1192 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol1193 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol1194 = [0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol1195 = [2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol1196 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol1197 = [1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol1198 = [1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol1199 = [0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol1200 = [1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol1201 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol1202 = [1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol1203 = [0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1204 = [0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol1205 = [1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1206 = [2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1] pubkeycol1207 = [0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol1208 = [0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol1209 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol1210 = [0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1211 = [2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol1212 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol1213 = [1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol1214 = [2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2] pubkeycol1215 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol1216 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol1217 = [1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol1218 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1219 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1] pubkeycol1220 = [2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol1221 = [1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol1222 = [1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol1223 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol1224 = [2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol1225 = [2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1226 = [2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol1227 = [1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol1228 = [1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol1229 = [0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol1230 = [2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol1231 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol1232 = [1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol1233 = [0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1234 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol1235 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol1236 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol1237 = [0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol1238 = [0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol1239 = [1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2] pubkeycol1240 = [2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2