kilobytes = 119.940179864143 q = 3 m = 7 n = 1896 s = 0 t = 30 u = 60 k = 1476 w = 45 ciphertext = [0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol420 = [2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol421 = [1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol422 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol423 = [1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol424 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol425 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol426 = [0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol427 = [1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol428 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol429 = [0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol430 = [1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol431 = [1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol432 = [0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol433 = [1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol434 = [2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol435 = [1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol436 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol437 = [1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol438 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol439 = [0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol440 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol441 = [2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol442 = [0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol443 = [1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2] pubkeycol444 = [2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol445 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol446 = [2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol447 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol448 = [2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0] pubkeycol449 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol450 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol451 = [1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1] pubkeycol452 = [1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol453 = [0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol454 = [0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol455 = [0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol456 = [1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0] pubkeycol457 = [0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol458 = [2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol459 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol460 = [2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol461 = [2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol462 = [0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol463 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol464 = [2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol465 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol466 = [0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol467 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol468 = [2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol469 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol470 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol471 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol472 = [2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol473 = [0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol474 = [2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol475 = [2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol476 = [2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol477 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol478 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol479 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol480 = [2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol481 = [2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol482 = [2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol483 = [1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol484 = [0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2] pubkeycol485 = [1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol486 = [0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol487 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol488 = [1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol489 = [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol490 = [0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol491 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol492 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol493 = [0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol494 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol495 = [1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1] pubkeycol496 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol497 = [2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol498 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol499 = [0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol500 = [1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol501 = [1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol502 = [2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol503 = [0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol504 = [0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol505 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol506 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0] pubkeycol507 = [1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol508 = [2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol509 = [1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol510 = [2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol511 = [0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol512 = [0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol513 = [1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol514 = [0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol515 = [0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol516 = [1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol517 = [0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol518 = [2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol519 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol520 = [0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol521 = [2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol522 = [1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol523 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol524 = [1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1] pubkeycol525 = [0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol526 = [0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol527 = [0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol528 = [2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol529 = [2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol530 = [1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol531 = [2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol532 = [2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol533 = [1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol534 = [2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol535 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol536 = [2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol537 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol538 = [1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol539 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol540 = [0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol541 = [1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2] pubkeycol542 = [0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol543 = [0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol544 = [1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol545 = [1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol546 = [1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol547 = [2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol548 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol549 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol550 = [0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol551 = [2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol552 = [0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol553 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol554 = [0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol555 = [0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol556 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol557 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol558 = [2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol559 = [1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol560 = [0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1] pubkeycol561 = [2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0] pubkeycol562 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol563 = [2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol564 = [1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol565 = [0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol566 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol567 = [2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol568 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol569 = [1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol570 = [0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol571 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol572 = [0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol573 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol574 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol575 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol576 = [1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2] pubkeycol577 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol578 = [1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol579 = [0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol580 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol581 = [2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol582 = [0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol583 = [2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol584 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol585 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol586 = [1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol587 = [2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol588 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol589 = [0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol590 = [1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol591 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol592 = [0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol593 = [2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol594 = [2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol595 = [1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol596 = [1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol597 = [2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol598 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol599 = [1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol600 = [1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol601 = [0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol602 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol603 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol604 = [2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol605 = [1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol606 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol607 = [2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol608 = [1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol609 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2] pubkeycol610 = [1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol611 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol612 = [0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol613 = [2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol614 = [1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol615 = [2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol616 = [2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol617 = [2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol618 = [2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol619 = [1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol620 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol621 = [0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol622 = [1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol623 = [2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol624 = [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol625 = [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol626 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol627 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol628 = [0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol629 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1] pubkeycol630 = [1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol631 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol632 = [2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol633 = [0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol634 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol635 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol636 = [0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol637 = [1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol638 = [0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol639 = [1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol640 = [1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol641 = [0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol642 = [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol643 = [1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol644 = [2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol645 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol646 = [1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol647 = [2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol648 = [1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol649 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol650 = [1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol651 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0] pubkeycol652 = [1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol653 = [1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol654 = [1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol655 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol656 = [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol657 = [1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol658 = [1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol659 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol660 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol661 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol662 = [1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol663 = [1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol664 = [0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol665 = [2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol666 = [1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol667 = [1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol668 = [1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol669 = [1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol670 = [1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1] pubkeycol671 = [1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol672 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol673 = [0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol674 = [1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol675 = [2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol676 = [0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol677 = [0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol678 = [0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol679 = [2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol680 = [1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol681 = [0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol682 = [2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol683 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol684 = [0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol685 = [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol686 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol687 = [1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol688 = [0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol689 = [1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol690 = [1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0] pubkeycol691 = [0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol692 = [2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol693 = [1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol694 = [2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol695 = [2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol696 = [1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol697 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol698 = [0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol699 = [1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol700 = [0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0] pubkeycol701 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol702 = [2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol703 = [2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol704 = [2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol705 = [0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol706 = [2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol707 = [0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol708 = [1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol709 = [0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol710 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol711 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol712 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol713 = [2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol714 = [2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol715 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol716 = [1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol717 = [0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1] pubkeycol718 = [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol719 = [0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol720 = [0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol721 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol722 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol723 = [1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol724 = [1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol725 = [1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol726 = [2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol727 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol728 = [0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol729 = [0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol730 = [2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol731 = [1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol732 = [0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] pubkeycol733 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol734 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol735 = [2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol736 = [1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol737 = [1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol738 = [1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol739 = [2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol740 = [1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol741 = [2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0] pubkeycol742 = [2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1] pubkeycol743 = [0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol744 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol745 = [1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol746 = [2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol747 = [1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol748 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1] pubkeycol749 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol750 = [2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol751 = [2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol752 = [2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol753 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol754 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol755 = [1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol756 = [2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol757 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol758 = [1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2] pubkeycol759 = [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol760 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol761 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol762 = [1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol763 = [2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol764 = [2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol765 = [2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol766 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol767 = [1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol768 = [2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol769 = [2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol770 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol771 = [1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2] pubkeycol772 = [2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol773 = [0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol774 = [2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol775 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol776 = [2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol777 = [1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1] pubkeycol778 = [1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol779 = [0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol780 = [1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol781 = [1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol782 = [1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol783 = [0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol784 = [0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol785 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol786 = [1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol787 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol788 = [2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol789 = [1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol790 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol791 = [2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol792 = [2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol793 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol794 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol795 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol796 = [1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol797 = [2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol798 = [2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol799 = [1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol800 = [0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol801 = [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol802 = [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol803 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol804 = [0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol805 = [1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol806 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol807 = [2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol808 = [0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1] pubkeycol809 = [0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol810 = [2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol811 = [1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol812 = [2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol813 = [0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol814 = [2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol815 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1] pubkeycol816 = [0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol817 = [1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol818 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol819 = [1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1] pubkeycol820 = [0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1] pubkeycol821 = [1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol822 = [0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol823 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol824 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol825 = [1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol826 = [0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol827 = [1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol828 = [2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol829 = [0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol830 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0] pubkeycol831 = [2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol832 = [1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol833 = [2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol834 = [2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2] pubkeycol835 = [0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol836 = [0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol837 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol838 = [2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol839 = [0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1] pubkeycol840 = [0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol841 = [1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol842 = [2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol843 = [0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol844 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol845 = [0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol846 = [2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol847 = [0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol848 = [2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol849 = [1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol850 = [2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1] pubkeycol851 = [2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2] pubkeycol852 = [1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol853 = [0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol854 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol855 = [0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol856 = [1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol857 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2] pubkeycol858 = [2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol859 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol860 = [0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol861 = [2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol862 = [2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol863 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol864 = [2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol865 = [0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol866 = [1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol867 = [1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol868 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol869 = [1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol870 = [1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol871 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol872 = [1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol873 = [0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol874 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0] pubkeycol875 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol876 = [0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol877 = [0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol878 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol879 = [0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol880 = [0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol881 = [2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol882 = [0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol883 = [1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol884 = [1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol885 = [1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol886 = [2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol887 = [1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol888 = [0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1] pubkeycol889 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol890 = [0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol891 = [1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol892 = [0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol893 = [0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol894 = [2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol895 = [2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol896 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol897 = [0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol898 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1] pubkeycol899 = [0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol900 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol901 = [1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol902 = [0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol903 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol904 = [0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol905 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol906 = [0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol907 = [2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol908 = [0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol909 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol910 = [2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol911 = [0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol912 = [2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol913 = [0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol914 = [0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol915 = [0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol916 = [2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol917 = [1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol918 = [2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol919 = [2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol920 = [2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol921 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol922 = [2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol923 = [1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol924 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol925 = [1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol926 = [1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol927 = [0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol928 = [0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol929 = [1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol930 = [1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol931 = [2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol932 = [2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol933 = [1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol934 = [2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol935 = [2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol936 = [1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol937 = [0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol938 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1] pubkeycol939 = [0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol940 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol941 = [0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol942 = [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol943 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol944 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol945 = [1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol946 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol947 = [2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1] pubkeycol948 = [1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0] pubkeycol949 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol950 = [0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol951 = [1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol952 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol953 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol954 = [0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol955 = [1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol956 = [0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol957 = [2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol958 = [1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol959 = [1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol960 = [2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol961 = [2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol962 = [2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol963 = [1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1] pubkeycol964 = [1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1] pubkeycol965 = [2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol966 = [2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol967 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol968 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol969 = [1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol970 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol971 = [2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol972 = [2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol973 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol974 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol975 = [0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol976 = [2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol977 = [2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol978 = [1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol979 = [1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0] pubkeycol980 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol981 = [0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol982 = [2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol983 = [1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol984 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol985 = [2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2] pubkeycol986 = [2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol987 = [2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol988 = [1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol989 = [2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol990 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol991 = [2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol992 = [2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol993 = [0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol994 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol995 = [1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0] pubkeycol996 = [1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol997 = [1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol998 = [0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol999 = [2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol1000 = [1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol1001 = [1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1002 = [0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0] pubkeycol1003 = [0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol1004 = [1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol1005 = [1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1006 = [1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1007 = [2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol1008 = [0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1009 = [0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1] pubkeycol1010 = [0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol1011 = [0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol1012 = [0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol1013 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol1014 = [2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol1015 = [1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol1016 = [1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol1017 = [0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol1018 = [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol1019 = [0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol1020 = [1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol1021 = [2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol1022 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol1023 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol1024 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol1025 = [1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1026 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol1027 = [0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1028 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1029 = [1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol1030 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol1031 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol1032 = [2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol1033 = [1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol1034 = [1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol1035 = [1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol1036 = [1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1037 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol1038 = [1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol1039 = [0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol1040 = [0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol1041 = [0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol1042 = [2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1043 = [1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol1044 = [2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol1045 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol1046 = [1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol1047 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol1048 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol1049 = [2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol1050 = [1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol1051 = [0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol1052 = [1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol1053 = [0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol1054 = [0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol1055 = [2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol1056 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol1057 = [1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol1058 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1059 = [1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol1060 = [1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol1061 = [0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol1062 = [1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol1063 = [1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol1064 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol1065 = [1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol1066 = [1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1067 = [1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol1068 = [0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1069 = [0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol1070 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol1071 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol1072 = [0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol1073 = [2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol1074 = [0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol1075 = [1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol1076 = [2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol1077 = [0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol1078 = [1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol1079 = [0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol1080 = [2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol1081 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2] pubkeycol1082 = [1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2] pubkeycol1083 = [0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2] pubkeycol1084 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol1085 = [2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol1086 = [0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol1087 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol1088 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1089 = [1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol1090 = [2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol1091 = [0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol1092 = [2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol1093 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol1094 = [1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol1095 = [0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol1096 = [2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol1097 = [1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol1098 = [0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol1099 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol1100 = [0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol1101 = [1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol1102 = [2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1103 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol1104 = [1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1105 = [1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol1106 = [2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol1107 = [1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1108 = [2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol1109 = [1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol1110 = [0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol1111 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1112 = [2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1113 = [1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol1114 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol1115 = [1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol1116 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol1117 = [1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol1118 = [0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1119 = [2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol1120 = [1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol1121 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol1122 = [2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1] pubkeycol1123 = [1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol1124 = [1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol1125 = [2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol1126 = [2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol1127 = [2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol1128 = [2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1129 = [0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol1130 = [1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol1131 = [1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0] pubkeycol1132 = [0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol1133 = [1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol1134 = [0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1] pubkeycol1135 = [2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol1136 = [1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol1137 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol1138 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0] pubkeycol1139 = [2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol1140 = [2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol1141 = [2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol1142 = [0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol1143 = [0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol1144 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0] pubkeycol1145 = [2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0] pubkeycol1146 = [1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1147 = [0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1148 = [1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1149 = [0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol1150 = [2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol1151 = [1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol1152 = [1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol1153 = [1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol1154 = [1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol1155 = [0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1156 = [1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1157 = [2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol1158 = [0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol1159 = [0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol1160 = [1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol1161 = [1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol1162 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol1163 = [0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol1164 = [2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1165 = [2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol1166 = [0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1167 = [2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol1168 = [1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol1169 = [0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol1170 = [2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol1171 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol1172 = [1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol1173 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1174 = [1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol1175 = [2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol1176 = [2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol1177 = [1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2] pubkeycol1178 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol1179 = [1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol1180 = [1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2] pubkeycol1181 = [0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol1182 = [2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol1183 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1184 = [2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1185 = [0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol1186 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol1187 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol1188 = [2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol1189 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol1190 = [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol1191 = [2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol1192 = [0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol1193 = [0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol1194 = [2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2] pubkeycol1195 = [0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol1196 = [1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol1197 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol1198 = [0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1] pubkeycol1199 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol1200 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol1201 = [0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol1202 = [1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol1203 = [1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol1204 = [1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol1205 = [2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol1206 = [0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol1207 = [1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol1208 = [0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol1209 = [0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol1210 = [0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol1211 = [1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol1212 = [0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol1213 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol1214 = [2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol1215 = [2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol1216 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol1217 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0] pubkeycol1218 = [1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol1219 = [2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol1220 = [2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol1221 = [0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol1222 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1223 = [2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol1224 = [2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1225 = [0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol1226 = [1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol1227 = [2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1228 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol1229 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol1230 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol1231 = [0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1232 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1233 = [1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol1234 = [0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol1235 = [1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol1236 = [0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol1237 = [0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol1238 = [0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol1239 = [1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol1240 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2