kilobytes = 47.9977413548467 q = 3 m = 7 n = 1166 s = 0 t = 20 u = 40 k = 886 w = 30 ciphertext = [0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol280 = [2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol281 = [2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol282 = [1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol283 = [0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol284 = [1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2] pubkeycol285 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol286 = [0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol287 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol288 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol289 = [2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol290 = [2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol291 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol292 = [1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol293 = [2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0] pubkeycol294 = [1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol295 = [2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol296 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol297 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol298 = [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol299 = [2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol300 = [0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol301 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol302 = [1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol303 = [1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol304 = [2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol305 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol306 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol307 = [1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol308 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol309 = [2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol310 = [0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol311 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol312 = [0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol313 = [1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol314 = [0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol315 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol316 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1] pubkeycol317 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol318 = [1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol319 = [1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol320 = [2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol321 = [0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol322 = [1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol323 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol324 = [1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol325 = [0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol326 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol327 = [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol328 = [2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol329 = [1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol330 = [2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol331 = [2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol332 = [2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol333 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol334 = [1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol335 = [0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol336 = [2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol337 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol338 = [2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol339 = [1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol340 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol341 = [0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol342 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol343 = [2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol344 = [0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol345 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol346 = [1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol347 = [2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol348 = [0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol349 = [0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol350 = [0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol351 = [2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol352 = [2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol353 = [2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol354 = [2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol355 = [2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol356 = [0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2] pubkeycol357 = [2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol358 = [0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol359 = [0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol360 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol361 = [0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol362 = [2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol363 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol364 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol365 = [1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2] pubkeycol366 = [2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol367 = [0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol368 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol369 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol370 = [2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol371 = [0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol372 = [0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol373 = [2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol374 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol375 = [0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol376 = [1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol377 = [1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol378 = [2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol379 = [1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol380 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol381 = [2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol382 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol383 = [1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol384 = [2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol385 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol386 = [0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol387 = [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol388 = [2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol389 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol390 = [2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol391 = [0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol392 = [1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol393 = [0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol394 = [1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol395 = [2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol396 = [2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol397 = [0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol398 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol399 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol400 = [2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol401 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol402 = [1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol403 = [0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol404 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol405 = [1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol406 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol407 = [1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol408 = [1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol409 = [1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol410 = [1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol411 = [2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol412 = [0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1] pubkeycol413 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol414 = [1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2] pubkeycol415 = [0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol416 = [2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol417 = [2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol418 = [0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2] pubkeycol419 = [2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol420 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol421 = [2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol422 = [0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol423 = [2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol424 = [1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol425 = [0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol426 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol427 = [0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol428 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol429 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol430 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol431 = [2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol432 = [2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol433 = [1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2] pubkeycol434 = [1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol435 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol436 = [1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol437 = [2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol438 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol439 = [2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol440 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol441 = [1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol442 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol443 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol444 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol445 = [2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol446 = [0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol447 = [1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol448 = [0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol449 = [1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol450 = [1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol451 = [0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol452 = [0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol453 = [2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol454 = [1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol455 = [2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol456 = [1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol457 = [0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol458 = [0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol459 = [2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol460 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol461 = [1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol462 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol463 = [1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol464 = [0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol465 = [0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol466 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol467 = [1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol468 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol469 = [2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol470 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol471 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol472 = [0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol473 = [1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol474 = [0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol475 = [2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol476 = [0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol477 = [1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol478 = [2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol479 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol480 = [2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol481 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2] pubkeycol482 = [2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol483 = [1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol484 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol485 = [2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol486 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol487 = [2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol488 = [0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol489 = [1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol490 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol491 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol492 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol493 = [0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0] pubkeycol494 = [0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol495 = [2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol496 = [1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol497 = [1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol498 = [1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol499 = [0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol500 = [1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol501 = [1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol502 = [0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0] pubkeycol503 = [0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol504 = [0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol505 = [2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol506 = [0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol507 = [2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol508 = [1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol509 = [0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol510 = [1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol511 = [2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol512 = [2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol513 = [0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol514 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol515 = [0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol516 = [0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol517 = [0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol518 = [0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol519 = [0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol520 = [1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol521 = [2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol522 = [0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol523 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol524 = [1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol525 = [1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol526 = [2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol527 = [1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol528 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2] pubkeycol529 = [0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol530 = [1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol531 = [0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol532 = [0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol533 = [2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol534 = [0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol535 = [0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol536 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol537 = [0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol538 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol539 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol540 = [0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0] pubkeycol541 = [2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol542 = [1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol543 = [1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol544 = [2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol545 = [0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2] pubkeycol546 = [0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol547 = [1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol548 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol549 = [0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol550 = [1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0] pubkeycol551 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol552 = [2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol553 = [0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol554 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol555 = [0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol556 = [1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol557 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol558 = [1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol559 = [0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol560 = [2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol561 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol562 = [2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol563 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol564 = [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol565 = [2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1] pubkeycol566 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol567 = [1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol568 = [1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol569 = [0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol570 = [0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol571 = [0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol572 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol573 = [1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol574 = [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol575 = [1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol576 = [0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol577 = [1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol578 = [2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1] pubkeycol579 = [1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0] pubkeycol580 = [0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol581 = [1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol582 = [0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol583 = [0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol584 = [1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol585 = [0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol586 = [1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol587 = [2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol588 = [0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol589 = [0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol590 = [0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol591 = [1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol592 = [2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol593 = [0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol594 = [0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1] pubkeycol595 = [0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol596 = [0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol597 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol598 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol599 = [2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1] pubkeycol600 = [1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0] pubkeycol601 = [0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol602 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2] pubkeycol603 = [2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol604 = [0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0] pubkeycol605 = [1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol606 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol607 = [1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol608 = [0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol609 = [0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol610 = [0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol611 = [2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol612 = [0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol613 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol614 = [2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol615 = [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol616 = [2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol617 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol618 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol619 = [2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol620 = [1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol621 = [0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol622 = [0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol623 = [2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol624 = [1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1] pubkeycol625 = [2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol626 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol627 = [1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol628 = [1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol629 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol630 = [1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol631 = [1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol632 = [1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol633 = [0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol634 = [2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol635 = [1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol636 = [2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol637 = [0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol638 = [0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol639 = [0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol640 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol641 = [2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2] pubkeycol642 = [1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol643 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol644 = [2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol645 = [2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol646 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol647 = [0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol648 = [2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol649 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol650 = [2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol651 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol652 = [0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol653 = [1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol654 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol655 = [1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol656 = [2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol657 = [0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol658 = [0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol659 = [0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol660 = [2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol661 = [2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0] pubkeycol662 = [0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol663 = [0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol664 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2] pubkeycol665 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol666 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol667 = [1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol668 = [0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol669 = [0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol670 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol671 = [0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol672 = [0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol673 = [2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol674 = [2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol675 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol676 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol677 = [0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol678 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol679 = [0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol680 = [0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol681 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol682 = [1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol683 = [2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol684 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol685 = [2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol686 = [1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol687 = [1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol688 = [2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol689 = [2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol690 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol691 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol692 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol693 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol694 = [2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol695 = [2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol696 = [1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol697 = [2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol698 = [1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol699 = [0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol700 = [0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol701 = [2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol702 = [1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol703 = [1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol704 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol705 = [1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol706 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol707 = [1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol708 = [0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol709 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol710 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol711 = [1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol712 = [2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol713 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol714 = [2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol715 = [2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol716 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol717 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol718 = [1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol719 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol720 = [1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol721 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0] pubkeycol722 = [2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol723 = [1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol724 = [1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol725 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol726 = [1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2] pubkeycol727 = [2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol728 = [2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol729 = [2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0] pubkeycol730 = [0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol731 = [0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol732 = [1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol733 = [2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1] pubkeycol734 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol735 = [0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol736 = [2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol737 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol738 = [0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol739 = [0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol740 = [1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol741 = [1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol742 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1] pubkeycol743 = [0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol744 = [0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol745 = [0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol746 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol747 = [2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol748 = [2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol749 = [0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1] pubkeycol750 = [2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol751 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol752 = [2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol753 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol754 = [1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol755 = [2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol756 = [2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol757 = [1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol758 = [0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol759 = [1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol760 = [0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol761 = [0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol762 = [0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol763 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol764 = [0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol765 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol766 = [2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol767 = [2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol768 = [2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol769 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol770 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol771 = [0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol772 = [2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol773 = [2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol774 = [2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol775 = [2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol776 = [0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol777 = [0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol778 = [2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol779 = [0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol780 = [2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol781 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol782 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol783 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol784 = [1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol785 = [2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol786 = [2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol787 = [2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol788 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol789 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol790 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol791 = [1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol792 = [0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2] pubkeycol793 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol794 = [2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol795 = [0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol796 = [2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol797 = [2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol798 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol799 = [0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol800 = [1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol801 = [1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol802 = [0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol803 = [0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol804 = [2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1] pubkeycol805 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol806 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol807 = [0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol808 = [2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol809 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol810 = [0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol811 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol812 = [1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol813 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol814 = [1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol815 = [0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol816 = [0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol817 = [0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2] pubkeycol818 = [0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol819 = [0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol820 = [0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol821 = [1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol822 = [1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol823 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol824 = [2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol825 = [0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0] pubkeycol826 = [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol827 = [1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol828 = [1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol829 = [1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol830 = [1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol831 = [2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol832 = [0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol833 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol834 = [0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol835 = [2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol836 = [1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol837 = [2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol838 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol839 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol840 = [1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol841 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol842 = [2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol843 = [1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol844 = [1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol845 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol846 = [2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol847 = [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol848 = [1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol849 = [1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol850 = [2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol851 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol852 = [2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol853 = [2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol854 = [2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0] pubkeycol855 = [2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol856 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol857 = [0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol858 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2] pubkeycol859 = [0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol860 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol861 = [2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol862 = [1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol863 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol864 = [2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol865 = [0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol866 = [0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol867 = [1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol868 = [0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol869 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol870 = [2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol871 = [1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol872 = [2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol873 = [0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol874 = [2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol875 = [1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol876 = [1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol877 = [2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol878 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol879 = [2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol880 = [2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol881 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol882 = [1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2] pubkeycol883 = [1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0] pubkeycol884 = [0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol885 = [1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol886 = [1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol887 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol888 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol889 = [2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol890 = [2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol891 = [0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol892 = [2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol893 = [2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol894 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol895 = [1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1] pubkeycol896 = [1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol897 = [2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol898 = [1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol899 = [1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol900 = [0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol901 = [1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol902 = [0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol903 = [2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol904 = [2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol905 = [1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol906 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol907 = [2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol908 = [2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol909 = [2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol910 = [0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol911 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol912 = [1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol913 = [1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol914 = [0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol915 = [0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol916 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol917 = [1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol918 = [0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol919 = [1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol920 = [0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol921 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol922 = [0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0] pubkeycol923 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol924 = [2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol925 = [1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol926 = [2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol927 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol928 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol929 = [0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol930 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol931 = [2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol932 = [0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol933 = [1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol934 = [2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol935 = [1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol936 = [1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol937 = [1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2] pubkeycol938 = [2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol939 = [0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol940 = [1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol941 = [1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol942 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol943 = [2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol944 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol945 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol946 = [2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol947 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol948 = [2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol949 = [2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol950 = [0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol951 = [2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol952 = [1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol953 = [1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol954 = [2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol955 = [2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol956 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol957 = [1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol958 = [2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol959 = [1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol960 = [2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol961 = [0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol962 = [2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol963 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol964 = [0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol965 = [2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0] pubkeycol966 = [0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol967 = [0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol968 = [0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol969 = [1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol970 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol971 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol972 = [2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol973 = [0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol974 = [0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1] pubkeycol975 = [1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol976 = [2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol977 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol978 = [2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol979 = [0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol980 = [0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol981 = [2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol982 = [1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol983 = [1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol984 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol985 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol986 = [1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol987 = [0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol988 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol989 = [1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol990 = [2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol991 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol992 = [2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol993 = [0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1] pubkeycol994 = [2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol995 = [1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol996 = [0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol997 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol998 = [1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol999 = [0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol1000 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1] pubkeycol1001 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol1002 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol1003 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol1004 = [0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol1005 = [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1006 = [0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol1007 = [0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol1008 = [2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol1009 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol1010 = [1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol1011 = [2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol1012 = [1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol1013 = [2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1014 = [1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1] pubkeycol1015 = [0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol1016 = [1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol1017 = [2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol1018 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol1019 = [0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol1020 = [0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol1021 = [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol1022 = [2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1023 = [0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol1024 = [2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol1025 = [0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol1026 = [0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol1027 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol1028 = [1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1029 = [2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol1030 = [1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol1031 = [2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol1032 = [2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol1033 = [0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol1034 = [1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol1035 = [1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol1036 = [1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1037 = [0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol1038 = [0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol1039 = [2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2] pubkeycol1040 = [2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol1041 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol1042 = [1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1043 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol1044 = [1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol1045 = [2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0] pubkeycol1046 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol1047 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol1048 = [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol1049 = [0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol1050 = [1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol1051 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol1052 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol1053 = [0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol1054 = [2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1055 = [0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1] pubkeycol1056 = [1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol1057 = [1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol1058 = [2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol1059 = [0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol1060 = [0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol1061 = [2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol1062 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol1063 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol1064 = [2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol1065 = [2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol1066 = [2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol1067 = [0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol1068 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol1069 = [1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1070 = [0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol1071 = [1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol1072 = [0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol1073 = [1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol1074 = [2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol1075 = [1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2] pubkeycol1076 = [0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol1077 = [2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol1078 = [1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol1079 = [1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol1080 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol1081 = [0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2] pubkeycol1082 = [0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1083 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol1084 = [2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol1085 = [1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2] pubkeycol1086 = [2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol1087 = [0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol1088 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1089 = [2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol1090 = [2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol1091 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol1092 = [0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol1093 = [0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol1094 = [0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol1095 = [0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1096 = [1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol1097 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol1098 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol1099 = [1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol1100 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol1101 = [0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol1102 = [2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1103 = [1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol1104 = [2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1105 = [2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol1106 = [1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol1107 = [1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol1108 = [1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol1109 = [1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol1110 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol1111 = [0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol1112 = [0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1113 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1114 = [0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol1115 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1] pubkeycol1116 = [0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol1117 = [2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol1118 = [0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol1119 = [1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol1120 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol1121 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1122 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol1123 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol1124 = [0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol1125 = [1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol1126 = [2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol1127 = [1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1] pubkeycol1128 = [0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol1129 = [0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol1130 = [2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol1131 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol1132 = [2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol1133 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1134 = [2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0] pubkeycol1135 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol1136 = [0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol1137 = [1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol1138 = [0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol1139 = [2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol1140 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol1141 = [2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1142 = [2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol1143 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol1144 = [0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol1145 = [2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0] pubkeycol1146 = [1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol1147 = [2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol1148 = [1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol1149 = [2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol1150 = [0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol1151 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol1152 = [2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol1153 = [0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol1154 = [1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol1155 = [1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol1156 = [0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0] pubkeycol1157 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol1158 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol1159 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol1160 = [2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol1161 = [1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol1162 = [2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol1163 = [2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol1164 = [0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol1165 = [1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0]