kilobytes = 107.263575488258 q = 3 m = 7 n = 1740 s = 0 t = 30 u = 60 k = 1320 w = 45 ciphertext = [0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol420 = [0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol421 = [1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol422 = [2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol423 = [2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol424 = [0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol425 = [1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol426 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol427 = [0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol428 = [1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol429 = [2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol430 = [1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol431 = [0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol432 = [1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol433 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol434 = [2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol435 = [1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol436 = [0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol437 = [0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0] pubkeycol438 = [1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol439 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol440 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol441 = [0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol442 = [1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol443 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1] pubkeycol444 = [1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol445 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol446 = [2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol447 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol448 = [1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0] pubkeycol449 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol450 = [2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol451 = [1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol452 = [2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol453 = [2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol454 = [0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol455 = [0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol456 = [2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol457 = [2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol458 = [0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol459 = [0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol460 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1] pubkeycol461 = [2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol462 = [1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol463 = [0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol464 = [1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol465 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol466 = [1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol467 = [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol468 = [2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol469 = [1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol470 = [0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol471 = [2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol472 = [1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol473 = [2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol474 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol475 = [1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol476 = [0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol477 = [0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol478 = [1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol479 = [2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol480 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol481 = [2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol482 = [0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol483 = [1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol484 = [1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol485 = [0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol486 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol487 = [2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol488 = [2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol489 = [0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol490 = [0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol491 = [2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol492 = [2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol493 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol494 = [2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol495 = [2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol496 = [2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol497 = [0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol498 = [0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol499 = [2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol500 = [0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2] pubkeycol501 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0] pubkeycol502 = [1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol503 = [2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol504 = [1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol505 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol506 = [2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol507 = [2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol508 = [0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol509 = [2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol510 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol511 = [2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol512 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol513 = [0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol514 = [0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol515 = [2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol516 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2] pubkeycol517 = [0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol518 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol519 = [1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol520 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol521 = [0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol522 = [2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol523 = [2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol524 = [1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol525 = [2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol526 = [1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol527 = [0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol528 = [0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol529 = [2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol530 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol531 = [2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol532 = [2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol533 = [1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2] pubkeycol534 = [0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol535 = [1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol536 = [1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol537 = [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol538 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol539 = [2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol540 = [0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol541 = [0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol542 = [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol543 = [0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol544 = [0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol545 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol546 = [2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol547 = [0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol548 = [1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol549 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol550 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol551 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol552 = [2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol553 = [0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol554 = [1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol555 = [0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol556 = [1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol557 = [1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol558 = [2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol559 = [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol560 = [1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol561 = [1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol562 = [1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol563 = [2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol564 = [1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol565 = [2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol566 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol567 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol568 = [1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol569 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol570 = [2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol571 = [0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1] pubkeycol572 = [0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol573 = [1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol574 = [2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol575 = [2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol576 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol577 = [0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol578 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol579 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol580 = [1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol581 = [0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol582 = [0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol583 = [1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol584 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol585 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol586 = [0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol587 = [0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2] pubkeycol588 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol589 = [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol590 = [0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol591 = [0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol592 = [2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol593 = [0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol594 = [0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol595 = [2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol596 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol597 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol598 = [2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol599 = [1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2] pubkeycol600 = [2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol601 = [1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol602 = [1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol603 = [0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol604 = [1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol605 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol606 = [2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol607 = [2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol608 = [0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol609 = [2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol610 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol611 = [1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol612 = [1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol613 = [2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol614 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol615 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2] pubkeycol616 = [2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol617 = [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0] pubkeycol618 = [2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol619 = [2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol620 = [0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol621 = [2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol622 = [2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol623 = [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol624 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol625 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol626 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol627 = [2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol628 = [0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol629 = [2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol630 = [0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol631 = [0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol632 = [2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol633 = [2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol634 = [0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2] pubkeycol635 = [2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol636 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol637 = [0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol638 = [0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol639 = [2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol640 = [1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol641 = [0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol642 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2] pubkeycol643 = [2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol644 = [1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol645 = [0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol646 = [2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol647 = [2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol648 = [1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol649 = [1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol650 = [1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol651 = [1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol652 = [1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol653 = [2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol654 = [2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol655 = [2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol656 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol657 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol658 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol659 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol660 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol661 = [1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol662 = [2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol663 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol664 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol665 = [1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol666 = [0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol667 = [0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol668 = [2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol669 = [1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol670 = [1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol671 = [2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol672 = [2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol673 = [2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol674 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol675 = [2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol676 = [1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol677 = [1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol678 = [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol679 = [1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol680 = [2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol681 = [0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol682 = [1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol683 = [0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol684 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1] pubkeycol685 = [1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol686 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol687 = [0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol688 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol689 = [1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol690 = [2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol691 = [2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol692 = [2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol693 = [2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol694 = [0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol695 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol696 = [1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol697 = [0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol698 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol699 = [2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol700 = [1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol701 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol702 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol703 = [2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol704 = [0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol705 = [2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0] pubkeycol706 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol707 = [1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol708 = [0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol709 = [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol710 = [1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol711 = [1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1] pubkeycol712 = [0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol713 = [2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol714 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol715 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol716 = [1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol717 = [2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol718 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol719 = [0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol720 = [0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol721 = [0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol722 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol723 = [0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol724 = [2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol725 = [1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol726 = [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol727 = [1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol728 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol729 = [1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol730 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol731 = [0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol732 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol733 = [1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol734 = [1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol735 = [2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol736 = [0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol737 = [2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol738 = [0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol739 = [1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol740 = [1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol741 = [0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol742 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol743 = [0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol744 = [2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol745 = [2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol746 = [0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol747 = [2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol748 = [2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol749 = [1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol750 = [0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol751 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol752 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol753 = [1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol754 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol755 = [0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol756 = [1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol757 = [1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol758 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol759 = [0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol760 = [2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol761 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol762 = [2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol763 = [0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol764 = [2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol765 = [2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol766 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol767 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol768 = [1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol769 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol770 = [2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol771 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol772 = [0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol773 = [2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2] pubkeycol774 = [0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol775 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol776 = [2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol777 = [2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol778 = [0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol779 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol780 = [2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol781 = [0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0] pubkeycol782 = [1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol783 = [0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol784 = [1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol785 = [0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1] pubkeycol786 = [1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol787 = [0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol788 = [1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol789 = [2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol790 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol791 = [1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol792 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol793 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol794 = [2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol795 = [1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol796 = [0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol797 = [1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol798 = [0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol799 = [1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0] pubkeycol800 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol801 = [0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol802 = [2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol803 = [1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol804 = [2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol805 = [2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol806 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol807 = [1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol808 = [1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol809 = [0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol810 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol811 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol812 = [2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol813 = [0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol814 = [0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol815 = [1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol816 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol817 = [2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol818 = [1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol819 = [1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol820 = [0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol821 = [2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol822 = [1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol823 = [1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol824 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol825 = [0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol826 = [1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol827 = [1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol828 = [2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol829 = [0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol830 = [2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol831 = [1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2] pubkeycol832 = [0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol833 = [0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol834 = [0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol835 = [2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol836 = [0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol837 = [2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol838 = [1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0] pubkeycol839 = [2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol840 = [1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol841 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0] pubkeycol842 = [0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol843 = [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol844 = [2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol845 = [1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol846 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol847 = [2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol848 = [2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol849 = [2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol850 = [2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol851 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol852 = [2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol853 = [1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2] pubkeycol854 = [0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol855 = [2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol856 = [1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol857 = [2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol858 = [0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol859 = [1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol860 = [2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol861 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol862 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol863 = [1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol864 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol865 = [2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol866 = [1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol867 = [2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol868 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol869 = [0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol870 = [0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol871 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol872 = [0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol873 = [2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol874 = [1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol875 = [2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol876 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol877 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol878 = [2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol879 = [0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol880 = [1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol881 = [0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol882 = [0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol883 = [0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol884 = [0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol885 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol886 = [0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0] pubkeycol887 = [2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol888 = [2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol889 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol890 = [2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol891 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol892 = [1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol893 = [0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol894 = [2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol895 = [2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol896 = [1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol897 = [1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2] pubkeycol898 = [2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol899 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol900 = [0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol901 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol902 = [0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol903 = [0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol904 = [2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol905 = [0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol906 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol907 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol908 = [0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol909 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol910 = [1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol911 = [0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol912 = [2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol913 = [1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol914 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol915 = [0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol916 = [0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol917 = [1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol918 = [1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol919 = [0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol920 = [1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol921 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol922 = [1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol923 = [1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol924 = [0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0] pubkeycol925 = [2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol926 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol927 = [1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol928 = [2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol929 = [0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol930 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol931 = [1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol932 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol933 = [2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol934 = [0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol935 = [1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol936 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol937 = [0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol938 = [0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol939 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol940 = [0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol941 = [1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol942 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2] pubkeycol943 = [2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol944 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol945 = [0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol946 = [2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol947 = [1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol948 = [2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol949 = [2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol950 = [1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0] pubkeycol951 = [0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol952 = [1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol953 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol954 = [0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol955 = [1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol956 = [2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol957 = [1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol958 = [1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol959 = [0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol960 = [1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol961 = [1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol962 = [2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2] pubkeycol963 = [2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol964 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2] pubkeycol965 = [0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol966 = [1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol967 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol968 = [2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol969 = [0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol970 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol971 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol972 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol973 = [2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol974 = [0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol975 = [2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol976 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol977 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol978 = [2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol979 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol980 = [0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol981 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol982 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol983 = [1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol984 = [2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol985 = [1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol986 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol987 = [2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol988 = [2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol989 = [2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol990 = [2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol991 = [0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol992 = [0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol993 = [0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol994 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2] pubkeycol995 = [0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol996 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol997 = [1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol998 = [2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol999 = [0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1000 = [2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol1001 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol1002 = [2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol1003 = [0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol1004 = [1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol1005 = [1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol1006 = [1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol1007 = [1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol1008 = [2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol1009 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol1010 = [0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol1011 = [1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol1012 = [1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol1013 = [1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol1014 = [1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol1015 = [1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1016 = [1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol1017 = [0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol1018 = [0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol1019 = [2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol1020 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1021 = [2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol1022 = [0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1023 = [0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol1024 = [2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1025 = [0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol1026 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1027 = [2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol1028 = [2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol1029 = [0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol1030 = [2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol1031 = [2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol1032 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol1033 = [2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol1034 = [2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2] pubkeycol1035 = [1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol1036 = [0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol1037 = [1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol1038 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol1039 = [0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol1040 = [2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol1041 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1042 = [1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol1043 = [2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol1044 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol1045 = [0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1] pubkeycol1046 = [2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol1047 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol1048 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1049 = [2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol1050 = [1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol1051 = [1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1] pubkeycol1052 = [1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol1053 = [0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol1054 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol1055 = [2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol1056 = [1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1057 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1058 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol1059 = [1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol1060 = [0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol1061 = [2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1062 = [2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol1063 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol1064 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol1065 = [0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol1066 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol1067 = [0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol1068 = [0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol1069 = [1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol1070 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol1071 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol1072 = [1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol1073 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1074 = [1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol1075 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1076 = [1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol1077 = [0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol1078 = [2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol1079 = [0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol1080 = [1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol1081 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol1082 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol1083 = [2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol1084 = [2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol1085 = [0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol1086 = [1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol1087 = [0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol1088 = [1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol1089 = [2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol1090 = [0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol1091 = [2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol1092 = [0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1093 = [1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1094 = [2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1095 = [0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol1096 = [2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol1097 = [1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol1098 = [2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol1099 = [1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1100 = [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1101 = [0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol1102 = [0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol1103 = [1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol1104 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol1105 = [0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol1106 = [2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol1107 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol1108 = [0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol1109 = [0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1110 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol1111 = [2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2] pubkeycol1112 = [2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2] pubkeycol1113 = [0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol1114 = [1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol1115 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol1116 = [1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1117 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1118 = [0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol1119 = [0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol1120 = [1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol1121 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol1122 = [1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol1123 = [1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol1124 = [1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1125 = [0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1126 = [2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol1127 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol1128 = [2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol1129 = [2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0] pubkeycol1130 = [1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol1131 = [0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol1132 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol1133 = [2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1134 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol1135 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol1136 = [2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol1137 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol1138 = [1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol1139 = [0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol1140 = [1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol1141 = [2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0] pubkeycol1142 = [0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol1143 = [0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol1144 = [2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol1145 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1146 = [0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol1147 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1148 = [1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol1149 = [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol1150 = [1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol1151 = [1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol1152 = [2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol1153 = [0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol1154 = [0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol1155 = [2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol1156 = [2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol1157 = [0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1158 = [0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol1159 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol1160 = [2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol1161 = [0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1162 = [0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol1163 = [0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1164 = [2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1] pubkeycol1165 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol1166 = [2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol1167 = [0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol1168 = [1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1169 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol1170 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol1171 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol1172 = [2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol1173 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1174 = [1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol1175 = [2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol1176 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol1177 = [0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2] pubkeycol1178 = [2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol1179 = [2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1180 = [0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol1181 = [2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol1182 = [1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol1183 = [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1184 = [2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol1185 = [0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2] pubkeycol1186 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol1187 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol1188 = [0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1189 = [1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol1190 = [0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol1191 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol1192 = [1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1193 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1194 = [1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1195 = [2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol1196 = [2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol1197 = [2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1198 = [1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol1199 = [2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol1200 = [2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol1201 = [1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol1202 = [1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0] pubkeycol1203 = [1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol1204 = [1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol1205 = [1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol1206 = [1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1207 = [0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol1208 = [1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1209 = [2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol1210 = [0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1] pubkeycol1211 = [0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol1212 = [2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1213 = [0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol1214 = [2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol1215 = [1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol1216 = [1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol1217 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol1218 = [2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol1219 = [2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol1220 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol1221 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1222 = [0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol1223 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol1224 = [0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol1225 = [0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol1226 = [2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2] pubkeycol1227 = [1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol1228 = [0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol1229 = [0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol1230 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol1231 = [1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol1232 = [1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol1233 = [2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol1234 = [1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol1235 = [2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol1236 = [0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol1237 = [2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol1238 = [0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol1239 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol1240 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol1241 = [2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol1242 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol1243 = [0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol1244 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol1245 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol1246 = [1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol1247 = [1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2] pubkeycol1248 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol1249 = [2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol1250 = [0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol1251 = [0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol1252 = [2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol1253 = [1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol1254 = [0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol1255 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol1256 = [2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0] pubkeycol1257 = [2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol1258 = [0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol1259 = [2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol1260 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol1261 = [0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol1262 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol1263 = [2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1264 = [2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol1265 = [1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol1266 = [2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol1267 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1268 = [2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol1269 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol1270 = [2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol1271 = [1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol1272 = [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol1273 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol1274 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1275 = [0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1276 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol1277 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1] pubkeycol1278 = [0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol1279 = [1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol1280 = [0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1281 = [0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol1282 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol1283 = [1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol1284 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol1285 = [1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol1286 = [0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol1287 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol1288 = [1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1289 = [0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol1290 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol1291 = [0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol1292 = [2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol1293 = [1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol1294 = [0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol1295 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1296 = [0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol1297 = [0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol1298 = [0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol1299 = [2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol1300 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol1301 = [0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol1302 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1303 = [1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol1304 = [0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol1305 = [2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol1306 = [2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol1307 = [0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol1308 = [2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol1309 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2] pubkeycol1310 = [2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol1311 = [1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol1312 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2] pubkeycol1313 = [1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol1314 = [0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol1315 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1316 = [2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol1317 = [1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol1318 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol1319 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1320 = [0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1321 = [2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol1322 = [1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2] pubkeycol1323 = [0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol1324 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1] pubkeycol1325 = [2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1326 = [0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol1327 = [2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol1328 = [0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol1329 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol1330 = [2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1331 = [2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1332 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol1333 = [0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol1334 = [2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol1335 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol1336 = [1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1337 = [2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol1338 = [1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol1339 = [0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1340 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol1341 = [1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol1342 = [1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol1343 = [0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol1344 = [2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol1345 = [2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol1346 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol1347 = [1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol1348 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol1349 = [0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1350 = [0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol1351 = [1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol1352 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol1353 = [2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol1354 = [2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol1355 = [1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol1356 = [1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol1357 = [0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol1358 = [2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol1359 = [2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol1360 = [1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol1361 = [2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1362 = [0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol1363 = [0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol1364 = [1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol1365 = [0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol1366 = [2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol1367 = [0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol1368 = [0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol1369 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol1370 = [2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol1371 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1372 = [2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1373 = [0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1374 = [0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol1375 = [2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol1376 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1377 = [0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol1378 = [0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol1379 = [1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1380 = [0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol1381 = [1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1] pubkeycol1382 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol1383 = [0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1] pubkeycol1384 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol1385 = [1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1386 = [1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol1387 = [0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol1388 = [0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol1389 = [1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol1390 = [0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1391 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol1392 = [1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1393 = [0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol1394 = [1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol1395 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol1396 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol1397 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1398 = [2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol1399 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol1400 = [2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1401 = [1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol1402 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1403 = [1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol1404 = [0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol1405 = [2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol1406 = [1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1407 = [2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0] pubkeycol1408 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol1409 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol1410 = [1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol1411 = [1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol1412 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol1413 = [2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1414 = [1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2] pubkeycol1415 = [0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2] pubkeycol1416 = [2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol1417 = [2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol1418 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol1419 = [2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1420 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol1421 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol1422 = [0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol1423 = [0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol1424 = [2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1425 = [2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol1426 = [1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol1427 = [2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1428 = [1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol1429 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol1430 = [2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol1431 = [2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol1432 = [2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol1433 = [0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0] pubkeycol1434 = [2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1435 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol1436 = [1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1437 = [1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1438 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol1439 = [0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0] pubkeycol1440 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol1441 = [2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol1442 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol1443 = [0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol1444 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol1445 = [2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol1446 = [2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol1447 = [1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol1448 = [2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol1449 = [0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1450 = [1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1] pubkeycol1451 = [1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol1452 = [2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1453 = [1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol1454 = [1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol1455 = [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol1456 = [2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol1457 = [2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1458 = [1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol1459 = [1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol1460 = [2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1461 = [2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol1462 = [0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2] pubkeycol1463 = [1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2] pubkeycol1464 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol1465 = [0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol1466 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol1467 = [2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol1468 = [0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol1469 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol1470 = [1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol1471 = [2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol1472 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1] pubkeycol1473 = [1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol1474 = [2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol1475 = [1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol1476 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol1477 = [2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol1478 = [0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol1479 = [2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol1480 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol1481 = [0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol1482 = [2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol1483 = [2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol1484 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol1485 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol1486 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol1487 = [2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol1488 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol1489 = [2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol1490 = [2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol1491 = [1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2] pubkeycol1492 = [2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol1493 = [0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol1494 = [2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol1495 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol1496 = [1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1497 = [0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol1498 = [0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol1499 = [2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol1500 = [0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol1501 = [2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol1502 = [2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol1503 = [1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol1504 = [0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol1505 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol1506 = [0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol1507 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol1508 = [1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol1509 = [2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol1510 = [1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol1511 = [1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol1512 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol1513 = [2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol1514 = [2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol1515 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol1516 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol1517 = [2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol1518 = [1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol1519 = [2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1520 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol1521 = [1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol1522 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1523 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol1524 = [2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol1525 = [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol1526 = [0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol1527 = [1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol1528 = [1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol1529 = [1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol1530 = [0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0] pubkeycol1531 = [2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol1532 = [0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol1533 = [0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol1534 = [1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol1535 = [0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0] pubkeycol1536 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol1537 = [1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol1538 = [0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol1539 = [2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol1540 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol1541 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol1542 = [2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol1543 = [0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol1544 = [0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol1545 = [2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1546 = [2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol1547 = [0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol1548 = [2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0] pubkeycol1549 = [2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol1550 = [0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol1551 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol1552 = [0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol1553 = [2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol1554 = [2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1555 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol1556 = [1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol1557 = [0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1558 = [1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1559 = [1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol1560 = [2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol1561 = [1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol1562 = [1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1563 = [2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol1564 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol1565 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0] pubkeycol1566 = [0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol1567 = [1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol1568 = [2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol1569 = [2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol1570 = [2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1571 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol1572 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol1573 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol1574 = [1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1] pubkeycol1575 = [2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol1576 = [0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0] pubkeycol1577 = [2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol1578 = [1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol1579 = [1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol1580 = [1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol1581 = [0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol1582 = [0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1] pubkeycol1583 = [1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol1584 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol1585 = [1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1586 = [0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol1587 = [1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol1588 = [1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol1589 = [1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1590 = [1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1] pubkeycol1591 = [2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol1592 = [2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1593 = [1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol1594 = [1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol1595 = [1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol1596 = [1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol1597 = [1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol1598 = [0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol1599 = [2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol1600 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol1601 = [2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1602 = [2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol1603 = [0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1604 = [0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol1605 = [0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol1606 = [2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol1607 = [0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1608 = [2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol1609 = [1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol1610 = [2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol1611 = [2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol1612 = [2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol1613 = [0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1614 = [1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1615 = [2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol1616 = [1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol1617 = [2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol1618 = [2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1619 = [0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol1620 = [1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol1621 = [0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol1622 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1] pubkeycol1623 = [0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol1624 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol1625 = [2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol1626 = [0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol1627 = [1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1628 = [2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1629 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol1630 = [0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1631 = [2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol1632 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1633 = [0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol1634 = [0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol1635 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol1636 = [0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol1637 = [1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol1638 = [2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol1639 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol1640 = [1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0] pubkeycol1641 = [2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol1642 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol1643 = [2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2] pubkeycol1644 = [1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol1645 = [0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol1646 = [0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol1647 = [2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol1648 = [1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol1649 = [2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol1650 = [1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol1651 = [2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol1652 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2] pubkeycol1653 = [1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1] pubkeycol1654 = [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol1655 = [1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol1656 = [0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol1657 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol1658 = [1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol1659 = [1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol1660 = [0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol1661 = [1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol1662 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol1663 = [1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol1664 = [1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1] pubkeycol1665 = [0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1666 = [2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol1667 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol1668 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol1669 = [2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol1670 = [2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol1671 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol1672 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol1673 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol1674 = [1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol1675 = [1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol1676 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol1677 = [0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol1678 = [0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol1679 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol1680 = [0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol1681 = [2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol1682 = [0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol1683 = [0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol1684 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol1685 = [2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol1686 = [0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol1687 = [1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol1688 = [1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol1689 = [0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol1690 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol1691 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol1692 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol1693 = [0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol1694 = [2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol1695 = [0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol1696 = [2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol1697 = [0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1698 = [0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol1699 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol1700 = [2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol1701 = [0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1702 = [0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol1703 = [1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol1704 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol1705 = [2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol1706 = [1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol1707 = [1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol1708 = [0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1709 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol1710 = [0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol1711 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol1712 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol1713 = [0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol1714 = [1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol1715 = [1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol1716 = [2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol1717 = [2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol1718 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol1719 = [2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol1720 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol1721 = [0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol1722 = [1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol1723 = [2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol1724 = [0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1] pubkeycol1725 = [1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1] pubkeycol1726 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1] pubkeycol1727 = [1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1728 = [2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol1729 = [2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1730 = [2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol1731 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol1732 = [2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol1733 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol1734 = [0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol1735 = [1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol1736 = [0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol1737 = [0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol1738 = [0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol1739 = [2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0]