kilobytes = 107.994918048405 q = 3 m = 7 n = 1749 s = 0 t = 30 u = 60 k = 1329 w = 45 ciphertext = [2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol420 = [2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol421 = [2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol422 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol423 = [1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol424 = [0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol425 = [0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol426 = [0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol427 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol428 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol429 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol430 = [0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol431 = [0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol432 = [2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol433 = [2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol434 = [1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol435 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol436 = [2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol437 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol438 = [0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol439 = [2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol440 = [0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol441 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol442 = [2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol443 = [0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2] pubkeycol444 = [0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol445 = [0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol446 = [0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol447 = [1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol448 = [0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol449 = [0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol450 = [2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol451 = [0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol452 = [0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol453 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol454 = [1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol455 = [0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol456 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol457 = [0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol458 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol459 = [1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol460 = [2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol461 = [2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol462 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0] pubkeycol463 = [1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol464 = [1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol465 = [2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol466 = [1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol467 = [2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol468 = [2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol469 = [0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol470 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol471 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol472 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol473 = [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol474 = [2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol475 = [2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol476 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol477 = [2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol478 = [2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol479 = [0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol480 = [2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol481 = [1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol482 = [0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2] pubkeycol483 = [2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol484 = [1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol485 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0] pubkeycol486 = [0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol487 = [1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol488 = [0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol489 = [1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol490 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol491 = [1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol492 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0] pubkeycol493 = [0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol494 = [1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol495 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol496 = [2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2] pubkeycol497 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol498 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol499 = [1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol500 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol501 = [0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol502 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol503 = [1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol504 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol505 = [0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol506 = [0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol507 = [0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol508 = [2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol509 = [2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol510 = [1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol511 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol512 = [2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol513 = [0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol514 = [2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol515 = [0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol516 = [0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol517 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol518 = [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol519 = [1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol520 = [0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol521 = [1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol522 = [2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol523 = [0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol524 = [2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol525 = [2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol526 = [1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol527 = [0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1] pubkeycol528 = [2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol529 = [1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol530 = [0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol531 = [1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol532 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol533 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol534 = [0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol535 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol536 = [2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol537 = [2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2] pubkeycol538 = [0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol539 = [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol540 = [2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol541 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol542 = [0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol543 = [0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol544 = [0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol545 = [0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol546 = [0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol547 = [2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol548 = [1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol549 = [1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol550 = [1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol551 = [1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol552 = [1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol553 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol554 = [1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol555 = [2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol556 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol557 = [1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol558 = [2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol559 = [1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0] pubkeycol560 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol561 = [0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol562 = [2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol563 = [0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol564 = [1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol565 = [0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol566 = [2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol567 = [1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol568 = [2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol569 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol570 = [2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol571 = [0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol572 = [1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2] pubkeycol573 = [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol574 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol575 = [1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol576 = [0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2] pubkeycol577 = [1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol578 = [1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol579 = [0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol580 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol581 = [2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol582 = [0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2] pubkeycol583 = [2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol584 = [1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2] pubkeycol585 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol586 = [2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol587 = [1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol588 = [2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol589 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol590 = [1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol591 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol592 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol593 = [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol594 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol595 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol596 = [1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol597 = [0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol598 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol599 = [0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1] pubkeycol600 = [1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol601 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol602 = [1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol603 = [2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol604 = [2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol605 = [2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol606 = [0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol607 = [2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol608 = [2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol609 = [1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol610 = [2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol611 = [1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol612 = [1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol613 = [2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol614 = [1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol615 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol616 = [0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol617 = [0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol618 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol619 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol620 = [0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol621 = [1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol622 = [0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol623 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol624 = [2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol625 = [2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol626 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol627 = [0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol628 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol629 = [2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol630 = [1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol631 = [1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol632 = [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol633 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol634 = [0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol635 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol636 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol637 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol638 = [1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0] pubkeycol639 = [2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol640 = [1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol641 = [1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol642 = [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol643 = [0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol644 = [1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1] pubkeycol645 = [2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol646 = [0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol647 = [0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol648 = [0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol649 = [0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol650 = [0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol651 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1] pubkeycol652 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol653 = [0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol654 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol655 = [0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol656 = [1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol657 = [2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol658 = [0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol659 = [0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol660 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol661 = [0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol662 = [1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol663 = [2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol664 = [1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol665 = [2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol666 = [0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol667 = [1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol668 = [0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol669 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol670 = [0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol671 = [0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol672 = [0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol673 = [0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol674 = [2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol675 = [1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol676 = [0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol677 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol678 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol679 = [2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol680 = [0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol681 = [2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol682 = [0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol683 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol684 = [2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol685 = [2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol686 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol687 = [1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol688 = [2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol689 = [1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol690 = [0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol691 = [1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol692 = [0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol693 = [0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol694 = [0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol695 = [0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol696 = [0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol697 = [1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol698 = [0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol699 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol700 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2] pubkeycol701 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol702 = [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol703 = [1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol704 = [1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol705 = [0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol706 = [0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0] pubkeycol707 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol708 = [0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol709 = [2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol710 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol711 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol712 = [1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol713 = [2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol714 = [1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol715 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol716 = [2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol717 = [2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol718 = [0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol719 = [2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol720 = [2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0] pubkeycol721 = [1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol722 = [1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol723 = [2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol724 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol725 = [0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol726 = [2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol727 = [0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol728 = [0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol729 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol730 = [1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol731 = [2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol732 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol733 = [1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol734 = [0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol735 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol736 = [0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol737 = [0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol738 = [1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol739 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol740 = [1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol741 = [2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol742 = [0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol743 = [1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol744 = [1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol745 = [0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol746 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol747 = [1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol748 = [2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol749 = [0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol750 = [0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol751 = [1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1] pubkeycol752 = [0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol753 = [0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol754 = [2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol755 = [1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1] pubkeycol756 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol757 = [2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol758 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol759 = [0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol760 = [2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1] pubkeycol761 = [0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol762 = [2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol763 = [1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol764 = [0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol765 = [2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol766 = [0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol767 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol768 = [2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol769 = [1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol770 = [1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol771 = [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol772 = [0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol773 = [0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol774 = [0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol775 = [2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol776 = [0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol777 = [2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol778 = [1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol779 = [1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1] pubkeycol780 = [1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol781 = [1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol782 = [1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1] pubkeycol783 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol784 = [0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol785 = [0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol786 = [0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol787 = [0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol788 = [2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol789 = [2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol790 = [0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol791 = [2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol792 = [0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol793 = [0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol794 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol795 = [2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0] pubkeycol796 = [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol797 = [0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol798 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol799 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol800 = [1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol801 = [0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol802 = [0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol803 = [2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol804 = [0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol805 = [1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol806 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol807 = [2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol808 = [0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol809 = [1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol810 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol811 = [1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol812 = [2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2] pubkeycol813 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol814 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol815 = [1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0] pubkeycol816 = [1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol817 = [0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol818 = [1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol819 = [2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol820 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol821 = [2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol822 = [1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol823 = [1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol824 = [1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol825 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol826 = [0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol827 = [1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol828 = [1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol829 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol830 = [1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol831 = [2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol832 = [1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol833 = [0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol834 = [2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol835 = [1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol836 = [0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0] pubkeycol837 = [0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol838 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1] pubkeycol839 = [2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol840 = [2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol841 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol842 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol843 = [1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol844 = [2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol845 = [0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol846 = [0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol847 = [2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol848 = [2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol849 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol850 = [1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol851 = [0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol852 = [1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol853 = [2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol854 = [1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol855 = [1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol856 = [0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol857 = [1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol858 = [0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol859 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1] pubkeycol860 = [1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol861 = [1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol862 = [1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol863 = [1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0] pubkeycol864 = [2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol865 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol866 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol867 = [2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol868 = [2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol869 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol870 = [2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol871 = [0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol872 = [2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol873 = [2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol874 = [1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol875 = [1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol876 = [0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol877 = [1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol878 = [0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol879 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol880 = [0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol881 = [0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol882 = [1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol883 = [2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol884 = [1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol885 = [0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol886 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol887 = [0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol888 = [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol889 = [1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol890 = [2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol891 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol892 = [0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol893 = [1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol894 = [1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol895 = [0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol896 = [2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol897 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol898 = [1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol899 = [2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol900 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol901 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol902 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol903 = [1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol904 = [2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol905 = [1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2] pubkeycol906 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol907 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol908 = [1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol909 = [0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol910 = [1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol911 = [0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol912 = [0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol913 = [2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol914 = [1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol915 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol916 = [0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol917 = [0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol918 = [1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0] pubkeycol919 = [1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol920 = [0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol921 = [1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol922 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol923 = [0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol924 = [1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol925 = [1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol926 = [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol927 = [1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol928 = [2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol929 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2] pubkeycol930 = [2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol931 = [0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol932 = [1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol933 = [2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol934 = [2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol935 = [2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol936 = [1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol937 = [1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol938 = [0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol939 = [0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol940 = [1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol941 = [0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol942 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol943 = [1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol944 = [1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol945 = [0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol946 = [2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol947 = [2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol948 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol949 = [1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol950 = [2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2] pubkeycol951 = [2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol952 = [0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol953 = [1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol954 = [1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol955 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol956 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol957 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol958 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol959 = [1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol960 = [1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol961 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol962 = [2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2] pubkeycol963 = [0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol964 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol965 = [1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol966 = [2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol967 = [0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol968 = [0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol969 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol970 = [0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1] pubkeycol971 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol972 = [1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol973 = [0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol974 = [1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol975 = [1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol976 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol977 = [0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol978 = [2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol979 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2] pubkeycol980 = [1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol981 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0] pubkeycol982 = [0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol983 = [2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol984 = [2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol985 = [0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol986 = [1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol987 = [0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol988 = [2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol989 = [0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol990 = [2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol991 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol992 = [0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol993 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol994 = [0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol995 = [2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol996 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol997 = [1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol998 = [2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol999 = [2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol1000 = [2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol1001 = [1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol1002 = [2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol1003 = [2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol1004 = [1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol1005 = [1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol1006 = [2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1007 = [0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol1008 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol1009 = [0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol1010 = [1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol1011 = [2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol1012 = [2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol1013 = [1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol1014 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1015 = [2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1016 = [0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1017 = [0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol1018 = [1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol1019 = [0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol1020 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol1021 = [1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1022 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol1023 = [1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1024 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol1025 = [0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol1026 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1027 = [2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol1028 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol1029 = [0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1030 = [1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2] pubkeycol1031 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol1032 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1033 = [1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol1034 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol1035 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol1036 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol1037 = [0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol1038 = [1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol1039 = [1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol1040 = [1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol1041 = [1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol1042 = [1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol1043 = [2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol1044 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol1045 = [2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol1046 = [2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1047 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol1048 = [1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol1049 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol1050 = [2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol1051 = [0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol1052 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol1053 = [0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol1054 = [0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol1055 = [0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol1056 = [2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol1057 = [0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0] pubkeycol1058 = [1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol1059 = [0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol1060 = [0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol1061 = [0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1062 = [0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol1063 = [1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol1064 = [2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol1065 = [2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol1066 = [2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1067 = [0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1068 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1069 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol1070 = [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol1071 = [0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol1072 = [1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol1073 = [1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1074 = [2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol1075 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol1076 = [1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol1077 = [2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1] pubkeycol1078 = [0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol1079 = [0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1080 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1081 = [1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol1082 = [1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol1083 = [1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol1084 = [2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol1085 = [2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1086 = [1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol1087 = [0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol1088 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol1089 = [1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol1090 = [2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol1091 = [0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol1092 = [1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol1093 = [1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol1094 = [2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol1095 = [0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol1096 = [2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol1097 = [0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1098 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1099 = [1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol1100 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol1101 = [1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol1102 = [0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1103 = [1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol1104 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol1105 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol1106 = [2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1] pubkeycol1107 = [1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol1108 = [2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0] pubkeycol1109 = [0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1110 = [1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol1111 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol1112 = [1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1113 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1] pubkeycol1114 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol1115 = [0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol1116 = [0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1] pubkeycol1117 = [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol1118 = [1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol1119 = [1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1] pubkeycol1120 = [2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol1121 = [2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol1122 = [0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol1123 = [1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol1124 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol1125 = [0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol1126 = [2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol1127 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol1128 = [2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2] pubkeycol1129 = [0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol1130 = [1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol1131 = [2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol1132 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol1133 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol1134 = [2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol1135 = [1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol1136 = [1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol1137 = [2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol1138 = [1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol1139 = [1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol1140 = [1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol1141 = [0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol1142 = [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2] pubkeycol1143 = [1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol1144 = [0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol1145 = [1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1146 = [0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol1147 = [1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol1148 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol1149 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol1150 = [1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1151 = [0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol1152 = [1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol1153 = [0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol1154 = [0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol1155 = [1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol1156 = [0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol1157 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1158 = [1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol1159 = [2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol1160 = [0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol1161 = [0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol1162 = [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1163 = [1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol1164 = [2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol1165 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol1166 = [1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1] pubkeycol1167 = [1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol1168 = [0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol1169 = [1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol1170 = [2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol1171 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol1172 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol1173 = [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol1174 = [2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol1175 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1176 = [2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol1177 = [1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol1178 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol1179 = [2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol1180 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol1181 = [2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol1182 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol1183 = [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol1184 = [1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol1185 = [0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol1186 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol1187 = [0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1188 = [0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol1189 = [2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol1190 = [1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol1191 = [0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol1192 = [0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol1193 = [0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol1194 = [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1195 = [0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2] pubkeycol1196 = [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1197 = [0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol1198 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol1199 = [0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol1200 = [2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol1201 = [2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol1202 = [0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol1203 = [1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1] pubkeycol1204 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol1205 = [2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol1206 = [2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol1207 = [0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol1208 = [0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2] pubkeycol1209 = [0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol1210 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0] pubkeycol1211 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol1212 = [2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol1213 = [2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1214 = [2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2] pubkeycol1215 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol1216 = [1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol1217 = [1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol1218 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol1219 = [1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol1220 = [2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1221 = [2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol1222 = [0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol1223 = [1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol1224 = [0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol1225 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1226 = [0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol1227 = [0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol1228 = [0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1229 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol1230 = [1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol1231 = [1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol1232 = [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol1233 = [2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1234 = [1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol1235 = [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol1236 = [1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol1237 = [0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol1238 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol1239 = [1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol1240 = [2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0