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, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol1241 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol1242 = [1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol1243 = [1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol1244 = [1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol1245 = [0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol1246 = [1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol1247 = [2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol1248 = [1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol1249 = [1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol1250 = [2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol1251 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1252 = [2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol1253 = [1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1254 = [2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol1255 = [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol1256 = [2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol1257 = [1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol1258 = [0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1259 = [1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1260 = [1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol1261 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1262 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol1263 = [1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol1264 = [1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol1265 = [1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1266 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol1267 = [0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1] pubkeycol1268 = [2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol1269 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol1270 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol1271 = [0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1272 = [0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol1273 = [0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2] pubkeycol1274 = [2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol1275 = [2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol1276 = [1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol1277 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol1278 = [0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol1279 = [2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol1280 = [0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol1281 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol1282 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol1283 = [1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol1284 = [2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol1285 = [2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol1286 = [2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1287 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol1288 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol1289 = [1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1290 = [1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1291 = [0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol1292 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol1293 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol1294 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1295 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1296 = [1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol1297 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol1298 = [0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol1299 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol1300 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol1301 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol1302 = [0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol1303 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol1304 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol1305 = [1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol1306 = [2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol1307 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol1308 = [2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol1309 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol1310 = [0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol1311 = [0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol1312 = [2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1] pubkeycol1313 = [0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol1314 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol1315 = [2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0] pubkeycol1316 = [0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol1317 = [2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1318 = [2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol1319 = [2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol1320 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1321 = [1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol1322 = [0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol1323 = [2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol1324 = [1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol1325 = [1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol1326 = [1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol1327 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol1328 = [2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol1329 = [0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol1330 = [2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol1331 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol1332 = [1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1333 = [2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol1334 = [2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1335 = [2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1336 = [1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1337 = [2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol1338 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol1339 = [2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1340 = [2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1341 = [0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol1342 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol1343 = [1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol1344 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol1345 = [1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol1346 = [0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol1347 = [0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol1348 = [1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol1349 = [2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol1350 = [2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol1351 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol1352 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol1353 = [1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1354 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol1355 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol1356 = [0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol1357 = [2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol1358 = [0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol1359 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1] pubkeycol1360 = [0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol1361 = [1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol1362 = [0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol1363 = [1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol1364 = [2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1365 = [2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1366 = [2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol1367 = [0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol1368 = [0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol1369 = [2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1370 = [2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol1371 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol1372 = [1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1373 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol1374 = [1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol1375 = [1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol1376 = [1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol1377 = [0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1378 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol1379 = [0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1380 = [2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol1381 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1382 = [1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol1383 = [2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol1384 = [1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1385 = [1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1386 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol1387 = [1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol1388 = [1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol1389 = [1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol1390 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol1391 = [0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol1392 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol1393 = [0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol1394 = [0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1395 = [0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol1396 = [1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol1397 = [1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol1398 = [1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol1399 = [0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol1400 = [1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol1401 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol1402 = [0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol1403 = [2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol1404 = [0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol1405 = [0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol1406 = [1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol1407 = [2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol1408 = [0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol1409 = [2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol1410 = [0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol1411 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1412 = [2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol1413 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol1414 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2] pubkeycol1415 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1416 = [0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol1417 = [2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol1418 = [2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol1419 = [0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol1420 = [1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1] pubkeycol1421 = [0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol1422 = [0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol1423 = [1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1424 = [1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol1425 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol1426 = [2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol1427 = [0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1428 = [2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol1429 = [1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1430 = [0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1431 = [2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol1432 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol1433 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol1434 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol1435 = [0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1436 = [2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol1437 = [1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol1438 = [1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol1439 = [2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol1440 = [0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1441 = [1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol1442 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1443 = [2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol1444 = [2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol1445 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol1446 = [2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1447 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol1448 = [0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol1449 = [1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol1450 = [0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol1451 = [1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1452 = [2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2] pubkeycol1453 = [0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0] pubkeycol1454 = [1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol1455 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1456 = [1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol1457 = [2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol1458 = [1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2] pubkeycol1459 = [1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol1460 = [0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol1461 = [0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol1462 = [0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol1463 = [2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol1464 = [0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol1465 = [1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol1466 = [1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol1467 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol1468 = [2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol1469 = [1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol1470 = [2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol1471 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol1472 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol1473 = [1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol1474 = [1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1475 = [0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol1476 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol1477 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol1478 = [0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1479 = [2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1480 = [0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol1481 = [2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol1482 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1483 = [2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol1484 = [0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol1485 = [2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol1486 = [1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol1487 = [0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol1488 = [0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol1489 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol1490 = [0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol1491 = [1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1492 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol1493 = [1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol1494 = [1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol1495 = [1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol1496 = [0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol1497 = [2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol1498 = [1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1499 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol1500 = [0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1501 = [0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2] pubkeycol1502 = [0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol1503 = [1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol1504 = [1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol1505 = [0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol1506 = [1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol1507 = [1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol1508 = [2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol1509 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol1510 = [2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol1511 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol1512 = [1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol1513 = [1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol1514 = [1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol1515 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol1516 = [0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1517 = [1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol1518 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol1519 = [1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol1520 = [0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol1521 = [1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol1522 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol1523 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1524 = [1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol1525 = [1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0] pubkeycol1526 = [1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol1527 = [2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol1528 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1529 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol1530 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol1531 = [1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1532 = [2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol1533 = [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1534 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1535 = [0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol1536 = [1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol1537 = [2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol1538 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol1539 = [2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2] pubkeycol1540 = [2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol1541 = [1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol1542 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol1543 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1544 = [0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol1545 = [2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol1546 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1547 = [2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol1548 = [1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1] pubkeycol1549 = [0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol1550 = [0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol1551 = [0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol1552 = [1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol1553 = [2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol1554 = [1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol1555 = [2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol1556 = [0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol1557 = [1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol1558 = [2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol1559 = [2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2] pubkeycol1560 = [1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol1561 = [1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol1562 = [0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol1563 = [1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol1564 = [2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol1565 = [0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol1566 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol1567 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1568 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol1569 = [1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol1570 = [0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol1571 = [2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol1572 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol1573 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol1574 = [1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol1575 = [1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol1576 = [1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol1577 = [1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1578 = [0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol1579 = [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol1580 = [1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol1581 = [1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol1582 = [1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol1583 = [2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol1584 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol1585 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol1586 = [1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol1587 = [2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol1588 = [2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1] pubkeycol1589 = [1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol1590 = [1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol1591 = [0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol1592 = [2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol1593 = [0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol1594 = [0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1595 = [1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol1596 = [1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol1597 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol1598 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol1599 = [2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol1600 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol1601 = [1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol1602 = [1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1603 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol1604 = [0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol1605 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol1606 = [1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol1607 = [0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0] pubkeycol1608 = [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol1609 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol1610 = [1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol1611 = [0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol1612 = [1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol1613 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol1614 = [0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol1615 = [2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1616 = [0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol1617 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol1618 = [1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1619 = [1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol1620 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol1621 = [2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1] pubkeycol1622 = [1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol1623 = [1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol1624 = [2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol1625 = [0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol1626 = [1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1] pubkeycol1627 = [0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1628 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol1629 = [2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol1630 = [1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol1631 = [2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol1632 = [1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol1633 = [0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol1634 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol1635 = [0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol1636 = [1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol1637 = [1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol1638 = [0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1639 = [0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol1640 = [1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol1641 = [2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol1642 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1643 = [1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol1644 = [1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol1645 = [2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol1646 = [2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol1647 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol1648 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol1649 = [2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1650 = [0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol1651 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol1652 = [1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1653 = [1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol1654 = [1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol1655 = [1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol1656 = [2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol1657 = [2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol1658 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol1659 = [0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol1660 = [0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol1661 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1662 = [2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0] pubkeycol1663 = [2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol1664 = [0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol1665 = [0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol1666 = [1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2] pubkeycol1667 = [1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol1668 = [2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1669 = [2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol1670 = [2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol1671 = [0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol1672 = [2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2] pubkeycol1673 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol1674 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol1675 = [1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol1676 = [1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol1677 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol1678 = [0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol1679 = [0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol1680 = [2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1681 = [1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol1682 = [1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0] pubkeycol1683 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol1684 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol1685 = [0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1686 = [0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol1687 = [1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol1688 = [2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol1689 = [0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol1690 = [1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1691 = [2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol1692 = [2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol1693 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol1694 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1695 = [1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol1696 = [1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol1697 = [0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol1698 = [1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1] pubkeycol1699 = [2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol1700 = [1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol1701 = [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol1702 = [0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol1703 = [0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol1704 = [1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol1705 = [0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol1706 = [0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol1707 = [0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol1708 = [0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol1709 = [0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1710 = [0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol1711 = [2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol1712 = [1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol1713 = [2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol1714 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol1715 = [2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol1716 = [2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol1717 = [2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol1718 = [2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1719 = [1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol1720 = [0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol1721 = [2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol1722 = [2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol1723 = [1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol1724 = [0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1725 = [0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2] pubkeycol1726 = [1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol1727 = [1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol1728 = [1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol1729 = [1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol1730 = [2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2] pubkeycol1731 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1732 = [2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol1733 = [2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol1734 = [0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol1735 = [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol1736 = [2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1737 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol1738 = [1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol1739 = [2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol1740 = [2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol1741 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol1742 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol1743 = [1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol1744 = [0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol1745 = [0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol1746 = [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol1747 = [1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol1748 = [2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol1749 = [0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1750 = [1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1751 = [2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol1752 = [1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol1753 = [2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol1754 = [1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol1755 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0] pubkeycol1756 = [1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol1757 = [2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol1758 = [1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol1759 = [2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol1760 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol1761 = [2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1762 = [1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1763 = [1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol1764 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2] pubkeycol1765 = [2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol1766 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol1767 = [2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol1768 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2] pubkeycol1769 = [2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol1770 = [2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol1771 = [2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1772 = [0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol1773 = [1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1774 = [2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol1775 = [0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0] pubkeycol1776 = [0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2] pubkeycol1777 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol1778 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol1779 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol1780 = [1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol1781 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1782 = [1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1] pubkeycol1783 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1784 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol1785 = [0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol1786 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol1787 = [2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol1788 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1789 = [1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0] pubkeycol1790 = [1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol1791 = [2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol1792 = [1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol1793 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol1794 = [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol1795 = [2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol1796 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol1797 = [0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol1798 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol1799 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol1800 = [0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol1801 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol1802 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol1803 = [1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol1804 = [0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol1805 = [1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol1806 = [2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol1807 = [0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol1808 = [1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1809 = [1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol1810 = [1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol1811 = [2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol1812 = [2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol1813 = [1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol1814 = [0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1] pubkeycol1815 = [0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol1816 = [2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol1817 = [0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol1818 = [0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol1819 = [0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol1820 = [1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol1821 = [0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol1822 = [0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol1823 = [1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol1824 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol1825 = [0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol1826 = [1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol1827 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol1828 = [2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1829 = [2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1830 = [0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1831 = [2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol1832 = [0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol1833 = [0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol1834 = [0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol1835 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol1836 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol1837 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1838 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol1839 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol1840 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol1841 = [2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1] pubkeycol1842 = [1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol1843 = [1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol1844 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1845 = [0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol1846 = [0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0]